10409000 has 64 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 3566400.

The previous prime is 10408969. The next prime is 10409033. The reversal of 10409000 is 90401.

10409000 = T₃₄₄ + T₃₄₅ + ... + T₄₆₈.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6257 + ... + 7743.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^10409000 is an apocalyptic number.

10409000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10409000 is an abundant number, since it is smaller than the sum of its proper divisors (17446360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10409000 is a wasteful number, since it uses less digits than its factorization.

10409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10409000 is about 3226.2981883267. The cubic root of 10409000 is about 218.3415234320.

Adding to 10409000 its reverse (90401), we get a palindrome (10499401).

The spelling of 10409000 in words is "ten million, four hundred nine thousand".